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Finding the Third Proportional to 15,757 and 24,047

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Solution

The third proportional to 15,757 and 24,047 is: 36,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757 : 24,047 = 24,047 : x
  2. Step 2: Convert to fraction form
    15,757/24,047 = 24,047/x
  3. Step 3: Cross multiply
    15,757x = 24,047 × 24,047
  4. Step 4: Simplify right side
    15,757x = 578,258,209
  5. Step 5: Solve for x
    x = 578,258,209/15,757
  6. Step 6: Final answer
    x = 36,698.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.